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Finding the Fourth Proportional to 78,125.43, 117,143.01 and 68,784.20

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Solution

The fourth proportional to 78,125.43, 117,143.01 and 68,784.20 is: 103,136.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,125.43 : 117,143.01 = 68,784.20 : x
  2. Step 2: Convert to fraction form
    78,125.43/117,143.01 = 68,784.20/x
  3. Step 3: Cross multiply
    78,125.43x = 117,143.01 × 68,784.20
  4. Step 4: Simplify right side
    78,125.43x = 8,057,587,642.73
  5. Step 5: Solve for x
    x = 8,057,587,642.73/78,125.43
  6. Step 6: Final answer
    x = 103,136.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.